Women keep saying they want equality but when they have a chance to be equal they go back to Victorian times. Yes, I believe it's ok to initiate dates. I'm a grown up, I know what I want, and if I feel like asking a man to hang out, I will. If he thinks I'm being too forward, then he's insecure and I probably would be better off without him.
A lot of times women think that it's a good idea to not initiate dates at the beginning of relationships because they don't want to come across as needy, or they want to play a bit hard to get, etc.
In general though this is not a good idea. Guys have a lot more options nowadays and if a girl never initiates a date, a guy will naturally assume she is not overly interested, which in turn will lead to him losing interest and going after another.
Me personally, if a girl never initiates a date, I get bored because I naturally assume she is half-heartedly into me.
I like it if the girl calls me and says "I will be free this day during this time. Can you plan something for us?" Then make a general suggestion. Example: A relaxed at home thing, a fun engaging at home thing, a physical outdoor thing, travel, or whatever so we don't choose something totally off from what kind of activity you wanted, but we still have options. You say when, the guy says what. That's the best.